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Mar13

Types of Fractions: Proper, Improper, Fractions Equal to One

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Today we will look at the classification of fractions: What types of fractions are there?

We can classify them according to the relationship between the numerator and denominator.

Proper Fraction

Those representing a number less than 1. And how are these fractions identified? All fractions that represent numbers less than 1 are characterized by having a numerator lower than the denominator. For example:

fractions


Improper Fraction

Those that represent numbers greater than 1. And how are these fractions identified? All fractions that represent numbers greater than 1 are characterized by a numerator greater than the denominator. For example:

fractions

Fractions equal to one

Those whose value equals 1. They are characterized by the numerator and denominator being equal.

fractions

Examples of Fraction Classification

Let’s look at some examples of classifying fractions:

fractions

\( \frac{25}{27} \) < 1 because the numerator is less than the denominator: It is a proper fraction.

\( \frac{1}{2} \) < 1 because the numerator is less than the denominator: It is a proper fraction.

\( \frac{5}{4} \) > 1 because the numerator is greater than the denominator: It is an improper fraction.

\( \frac{180}{180} \) = 1 because the numerator equals the denominator: It is a fraction equal to one.

\( \frac{36}{3} \) > 1, because the numerator is greater than the denominator: It is an improper fraction.

\( \frac{6}{6} \) = 1 because the numerator equals the denominator: It is a fraction equal to one.

\( \frac{4}{2} \) > 1 because the numerator is greater than the denominator: It is an improper fraction.

\( \frac{10}{10} \) = 1 because the numerator equals the denominator: It is a fraction equal to one.

\( \frac{200}{279} \) < 1 because the numerator is less than the denominator: It is a proper fraction.

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